{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# LFM Train Ambiguity Function\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 8.6.2, the ambiguity function for a LFM train is found using the generic waveform method outlined in Section 8.6.3.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the pulsewidth (s), the bandwidth (Hz), the pulse repetition interval (s) and the number of pulses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "pulsewidth = 0.4\n",
    "\n",
    "bandwidth = 10.0\n",
    "\n",
    "pri = 1.0\n",
    "\n",
    "number_of_pulses = 6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate the time delay (s) using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "\n",
    "# Set the time delay\n",
    "\n",
    "time_delay = linspace(-number_of_pulses * pri, number_of_pulses * pri, 5000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the ambiguity function for the LFM train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.ambiguity.ambiguity_function import lfm_train\n",
    "\n",
    "from numpy import finfo\n",
    "\n",
    "\n",
    "ambiguity = lfm_train(time_delay, finfo(float).eps, pulsewidth, bandwidth, pri, number_of_pulses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the zero-Doppler cut using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Plot the ambiguity function\n",
    "\n",
    "plt.plot(time_delay, ambiguity, '')\n",
    "\n",
    "\n",
    "\n",
    "# Set the x and y axis labels\n",
    "\n",
    "plt.xlabel(\"Time (s)\", size=12)\n",
    "\n",
    "plt.ylabel(\"Relative Amplitude\", size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('LFM Train Ambiguity Function', size=14)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the Doppler mismatch frequencies using the `linspace` routine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "doppler_frequency = linspace(-bandwidth, bandwidth, 5000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the ambiguity function for the LFM train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "ambiguity = lfm_train(finfo(float).eps, doppler_frequency, pulsewidth, bandwidth, pri, number_of_pulses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the zero-range cut for the LFM train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(doppler_frequency, ambiguity, '')\n",
    "\n",
    "\n",
    "# Set the x and y axis labels\n",
    "\n",
    "plt.xlabel(\"Doppler (Hz)\", size=12)\n",
    "\n",
    "plt.ylabel(\"Relative Amplitude\", size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('LFM Train Ambiguity Function', size=14)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the time delay and Doppler mismatch frequency and create the two-dimensional grid using the `meshgrid` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import meshgrid\n",
    "\n",
    "\n",
    "# Set the time delay\n",
    "\n",
    "time_delay = linspace(-number_of_pulses * pri, number_of_pulses * pri, 1000)\n",
    "\n",
    "\n",
    "\n",
    "# Set the Doppler mismatch\n",
    "\n",
    "doppler_frequency = linspace(-bandwidth, bandwidth, 1000)\n",
    "\n",
    "\n",
    "\n",
    "# Create the grid\n",
    "\n",
    "t, f = meshgrid(time_delay, doppler_frequency)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the ambiguity function for the LFM train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "ambiguity = lfm_train(t, f, pulsewidth, bandwidth, pri, number_of_pulses)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the two-dimensional contour plot for the LFM train ambiguity function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the ambiguity function\n",
    "from numpy import finfo\n",
    "\n",
    "plt.contour(t, f, ambiguity + finfo('float').eps, 30, cmap='jet', vmin=-0.2, vmax=1.0)\n",
    "\n",
    "\n",
    "# Set the x and y axis labels\n",
    "\n",
    "plt.xlabel(\"Time (s)\", size=12)\n",
    "\n",
    "plt.ylabel(\"Doppler (Hz)\", size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('LFM Pulse Ambiguity Function', size=14)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
